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The Milne problem in gas-dusty atmosphere [SSA]

We consider the Milne problem in plane-parallel optically thick atmosphere consisting of two components – the free electrons and small dust particles. This problem depends on three dimensionless parameters: $\eta$ – the ratio of optical depth due to free electrons to optical depth due to small dust grains; the absorption factor $\varepsilon$ of dust grains and two coefficients – $\overline b_1$ and $\overline b_2$, describing the averaged anisotropic dust grains. These coefficients obey the relation $\overline b_1+3\overline b_2=1$. The goal of the paper is to study the dependence of the radiation angular distribution and degree of polarization on these three parameters. Recall, that the solution of the Milne problem gives the angular distribution and polarization degree of emerging radiation when the sources of non-polarized radiation are located far from the boundary of optically thick atmosphere. Here we consider only continuum radiation.